{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5356f6b2-a40c-4384-9aa2-b8d58993738b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.font_manager as fm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 或者使用 'SimSun'\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 解决负号显示问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eb41b973-d821-4b66-9a1d-ef55d5ba4726",
   "metadata": {},
   "outputs": [],
   "source": [
    "def guass(u,sigma,x):\n",
    "    return (1.0/(sigma * (2.0 * np.pi)**0.5)) * np.exp(-((x-u)**2)/(2*sigma**2))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0f13430c-83bf-49ce-b79b-69d49c4c1125",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-5, 5, 100)\n",
    "plt.plot(x,  guass(0.0,1.0,x)+2.0,color=\"green\", linestyle=\"--\", label=\"标准正态分布\")\n",
    "plt.plot(x,  guass(2.0,1.0,x), color=\"yellow\", linestyle=\"--\", label=\"均值为2\")\n",
    "plt.plot(x,  guass(0.5,1.0,x), color=\"red\", linestyle=\"--\", label=\"均值为0.5,方差为1.0\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.title(\"高斯拟合示例\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "808c5019-a38c-400a-9d1e-5044f25234d6",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7f9bce80-72e3-4782-921d-a73fd580f355",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b2beb328-6b0e-4129-ad91-429e22f6db42",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
